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Finding the Fourth Proportional to 186,574.32, 257,479.50 and 106,015.50

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Solution

The fourth proportional to 186,574.32, 257,479.50 and 106,015.50 is: 146,305.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,574.32 : 257,479.50 = 106,015.50 : x
  2. Step 2: Convert to fraction form
    186,574.32/257,479.50 = 106,015.50/x
  3. Step 3: Cross multiply
    186,574.32x = 257,479.50 × 106,015.50
  4. Step 4: Simplify right side
    186,574.32x = 27,296,817,932.25
  5. Step 5: Solve for x
    x = 27,296,817,932.25/186,574.32
  6. Step 6: Final answer
    x = 146,305.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.